Least Common Multiple of 89/851, 87/276, 459/388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 89/851, 87/276, 459/388 quickly i.e. 1184679 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 89/851, 87/276, 459/388 is 1184679.

LCM(89/851, 87/276, 459/388) = 1184679

LCM of 89/851, 87/276, 459/388

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 89/851,87/276,459/388

Given numbers are 89/851,87/276,459/388

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 89,87,459

Least Common Multiple of Numerators i.e. LCM of 89,87,459 is 1184679.

GCF of Denominators means GCF of 851,276,388 as per the given fractions.

GCF of 851,276,388 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 89,87,459

LCM of Fractions 89/851,87/276,459/388 is 1184679

3 89, 87, 459
89, 29, 153

∴ So the LCM of the given numbers is 3 x 89 x 29 x 153 = 1184679

Least Common Multiple of 89,87,459 with GCF Formula

Least Common Multiple of 89,87,459 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 89,87,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,87,459) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(89,87,459) x common factors =1 x 3 = 3

LCM(89,87,459) = ( 89 × 87 × 459 ) / 3

LCM(89,87,459) = 3554037 / 3

LCM(89,87,459) = 1184679


Lets's calculate GCF of 851,276,388

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1184679/1

Therefore the LCM of Fractions 89/851,87/276,459/388 is 1184679

Greatest Common Factor of 851,276,388 By Matching Biggest Common Factor Method

Greatest Common Factor of 851,276,388 By Matching Biggest Common Factor Method

Factors of 851

List of positive integer factors of 851 that divides 851 without a remainder.

1,23,37,851

Factors of 276

List of positive integer factors of 276 that divides 276 without a remainder.

1,2,3,4,6,12,23,46,69,92,138,276

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Greatest Common Factor

We found the factors 851,276,388 . The biggest common factor number is the GCF number.
So the greatest common factor 851,276,388 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 89/851, 87/276, 459/388

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 89/851, 87/276, 459/388?

Answer: LCM of Numerators as per given numbers 89/851, 87/276, 459/388 is

LCM of Numerators i.e. for 89,87,459 is 1184679

GCF of denominators i.e. for 851,276,388 is 1.

Thus, LCM of Fractions is 1184679.Finally, LCM of Fractions for 89/851, 87/276, 459/388 is 1184679.